Imagine 2

Imagine that you are filling treat bags with jellybeans. You have 3 3/8 cups of jellybeans, and each treat bag will contain 1/4 cup of jellybeans. How many treat bags can you fill before you run out of jellybeans? Show your work (please).

Correct answer:

n =  13 ¹⁄₂ = 27/2

Step-by-step explanation:

$$\begin{gathered} j=3\frac{3}{8}=3+\frac{3}{8}=\frac{3\cdot 8+3}{8}=\frac{24+3}{8}=\frac{27}{8}=3\frac{3}{8}=3.375 \\ b=\frac{1}{4}=0.25 \\ n=j/b=\frac{27}{8}/\frac{1}{4}=\frac{27}{8}:\frac{1}{4}=\frac{27}{8}\cdot \frac{4}{1}=\frac{27\cdot 4}{8\cdot 1}=\frac{108}{8}=\frac{27}{2}=13\frac{1}{2}=13.5 \end{gathered}$$

Try another example